Question

find Pythagorean triplet whose smallest. number is 10​

Answer 1

Answer:

The Pythagorean triplet is 10, 24 and 26.

Step-by-step explanation:

Given :

Smallest number required = 10

Solution :

We know that -

A Pythagorean triplet is -

• 2m
• m² + 1
• m² - 1

The Smallest Number is 2m.

So,

➙ 2m = 10

➙ m = 10/2

➙ m = 5

$\rule{300}{1.5}$

Value of m² + 1

➙ (5)² + 1

➙ 25 + 1

➙ 26

$\rule{300}{1.5}$

Value of m² - 1

➙ (5)² - 1

➙ 25 - 1

➙ 24

$\therefore$ The Pythagorean triplet is 10, 24 and 26.

$\rule{300}{1.5}$

Verification :-

★ (Hypotenuse)² = (Base)² + (Height)²

Hypotenuse is always the longest side.

➙ (26)² = (10)² + (24)²

➙ 676 = 100 + 576

➙ 676 = 676

➙ LHS = RHS

$\therefore$ The Pythagorean triplet is 10, 24 and 26.

Answer 2

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✿━━━━@♥ℳg━━━━✿$\mathfrak{\huge{\pink{ANSWER}}}$

>>The formula is (2m)2,(m2 - 1)2,(m2 + 1)2

2m= 10

Therefore m = 5.

m^2 + 1 = 26

m^2 - 1 = 24.

Therefore , the answer is 26 , 24 , 10